Cohomogeneity One Hypersurfaces of the Hyperbolic Space

被引：0
|
作者：
Antonio Carlos Asperti
Armando Caputi
机构：
[1] Universidade de São Paulo,Instituto de Matemática e Estatística
[2] R. do Matão,Departamento de Matemática
[3] Universidade Estadual de Maringá,undefined
来源：
Annals of Global Analysis and Geometry | 2003年 / 24卷
关键词：
hypersurfaces; hyperbolic space; cohomogeneity one; G-manifolds;
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摘要：
In this paper we extend to the hyperbolic space results firstly obtainedin Podestà and Spiro (Ann. Global Anal. Geom.13(2) (1995), 169–184) for compact cohomogeneity, Riemannian manifoldsimmersed as hypersurfaces of the Euclidean space and in Seixas(Ph.D. Thesis, 1996), wherethe complete case was studied. Both works give sufficient conditionsfor the hypersurface to be of revolution. We study cohomogeneity, complete hypersurfaces of the hyperbolic space and prove a similar resultof Seixas (Ph.D. Thesis, 1996), obtaining also a class of nonrotational examples.
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页码：351 / 373
页数：22
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